Two quadrants
大市松取り ō-ichimatsu-dori

The furoshiki is split into four squares with opposite quadrants coloured, like one large checker. Folded corner-to-corner it gives a two-tone parcel; rotate the furoshiki to change which colour leads.
Related to katamigawari and dangawari kosode designs
Dividing a garment into large blocks of different fabric goes back to katamigawari kosode (Kamakura to early Edo), where each half of the body was a different fabric, and dangawari, which split the design into horizontal steps or a checkerboard. The two-by-two 'large checker' furoshiki layout uses the same bold block contrast at the scale of a wrapping furoshiki.